Quadratic Equations

Math ⇒ Algebra

Quadratic Equations starts at 8 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Quadratic Equations. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 9

A ball is thrown upwards and its height h (in meters) after t seconds is given by h = -5t² + 20t + 2. What is the maximum height reached by the ball?

Find the value of the discriminant for the equation 2x² + 3x + 1 = 0.

If one root of the equation x² + px + 12 = 0 is 3, what is the value of p?

If the equation x² + bx + c = 0 has roots 2 and 5, what is the value of c?

If the product of the roots of a quadratic equation is negative, what can you say about the signs of the roots?

If the quadratic equation 2x² + kx + 8 = 0 has equal roots, what is the value of k?

If the roots of a quadratic equation are 4 and -2, write the equation in standard form.

If the roots of the equation x² + bx + 16 = 0 are both negative, what can you say about the value of b?

If the roots of the equation x² + bx + 25 = 0 are both equal, what is the value of b?

Solve for x: 3x² - 12 = 0

Solve for x: 4x² - 4x + 1 = 0

Solve for x: x² - 2x - 15 = 0

Solve for x: x² + 7x + 10 = 0

Solve for x: x² = 49

Solve the quadratic equation x² - 5x + 6 = 0.

What is the value of k if x² + kx + 16 = 0 has equal roots?

What is the vertex of the parabola represented by y = x² - 6x + 8?